Magnetic field inside a torus. Consider a torus of rectangular cross-section with inner radius a and outer radius b. N turns of an insulated thin wire are wound evenly on the torus tightly all around the torus and connected to a battery producing a steady current I in the wire. Assume that the current on the top and bottom surfaces in the figure is radial, and the current on the inner and outer radii surfaces is vertical. Find the magnetic field inside the torus as a function of radial distance r from the axis.
Ampere's law will help in solving the problem.
Ampere's law gives an integration over a closed loop to a source of magnetic field where a solenoid wire is wounded with number of turns N.
Formula used:
here, B is the magnetic field, N is the number of turns, I is the current and, is the free space of permeability.
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